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Finding the Fourth Proportional to 162,858, 224,757.06 and 95,802.96

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Solution

The fourth proportional to 162,858, 224,757.06 and 95,802.96 is: 132,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,858 : 224,757.06 = 95,802.96 : x
  2. Step 2: Convert to fraction form
    162,858/224,757.06 = 95,802.96/x
  3. Step 3: Cross multiply
    162,858x = 224,757.06 × 95,802.96
  4. Step 4: Simplify right side
    162,858x = 21,532,391,628.90
  5. Step 5: Solve for x
    x = 21,532,391,628.90/162,858
  6. Step 6: Final answer
    x = 132,215.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.